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| Previous Anawers SCalcET8 2.1.003. Ask Your Teacher 1 6/10 polnts My Notes The point P(8, -2) lies on the curve y 2/(7 - x) find the slope m of the secant line PQ (correct to six decimal places) for the following values of x (a) If Q is the point x, 2/(7 - x)), use your calculator (i) 7.9 mpo2.222223 (i) 7.99 mp2.0202 (ill) 7.999 2.002002 (Iv) 7.9999 2.00020007 (v) 8.1 1.81819 mpo 8.01 1.9802 (vII) 8.001 1.998002 mpo...
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using this definition: The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m=lim x rightarrow a f(x)-f(a)/x-a provided that this limit exists. m = using this equation: m=lim h rightarrow 0 f(a+h)-f(a)/h m= Find an equation of the tangent line in part (a). y...
y 1/(1-x) 5. The point P(2,-1) lies on the curve C If Q is the point (x,1/(1-x), use your calculator to find the slope of the secant line PQ a. (correct to six decimal places) for the following values of x: 1.5 (ii) 1.9 (i) 1.99 (iv) 1.999 (v) 2.5 (vi) 2.1 (vii) 2.01 (vii) 2.001 Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(2,-1) i. b. Using...
Consider the function x) = 6x + x2 and the point P(-2,-8) on the graph of f (a) Graph f and the secant lines passing through P(-2, -8) and Q(x, f(x)) for x-values of -3, -2.5, -1.5 -10 -8 68 10 -10 -8 2 46 810 -2 -8 8 10 8 10 -10-8 -10-8 -8 (b) Find the slope of each secant line (line passing through Q(-3, f(x))) (line passing through Q(-2.5, f(x))) (line passing through Q(-1.5, f(x))) (c) Use...
2:45 webassign.net ASSnts A LCal 0 Consider the function f(x) and the point P(4,2) on the graph f (a) Graph fand the secant lines passing through the point P(4, 2) and Q(x, fx)) for x-values of 1, 6, and 8 (b) Find the slope of each secant line. (Round your answers to three decimal places.) (line passing through Q(1, f(x)) (line passing through Q(6, fx)) (line passing through Q(8, f(x)) (c) Use the results of part (b) to estimate the...
16. [10pts.) Find an equation of the tangent line to the curve y = 4x2 at the given point (1,1). Find the slope using the definition of the derivative: f'(x)= lim f(x+h)-f(x) h
The solutions (x,y) of the equation x2 + 16y2 = 16 form an ellipse as pictured below. Consider the point P as pictured, with x-coordinate 1. Let h be a small non-zero number and form the point Q with x-coordinate 1+h, as pictured. The slope of the secant line through PQ, denoted s(h), is given by the formula Rationalize the numerator of your formula in (a) to rewrite the expression so that it looks like f(h)/g(h), subject to these two...
The solutions (x,y) of the equation x2 + 16y2 = 16 form an ellipse as pictured below.Consider the point P as pictured, with x-coordinate 3.(a) Let h be a small non-zero number and form the point Q with x-coordinate 3+h, as pictured. The slope of the secant line through PQ, denoted s(h), is given by the formula = ?(b) Rationalize the numerator of your formula in (a) to rewrite the expression so that it looks like f(h)/g(h),...
Find the equation of the line that is tangent to the curve y = 4x cos x at the point (π,-4π) The equation of this tangent line can be written in the form y = mx + b where m = _______ and b = _______
Find the equation of the tangent line to the curve at the given point using implicit differentiation. Remember: equation of a line can be found by y-y1=m(x-x1) where m is the slope of the line and (x1,y1) is any point on the line. Curve: at (1,1)